M24 214 819 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	19.7432	64.7887%	-	-	-	-	19.7432	64.7887%
Target	2⁷⁰	9.8680	64.2857%	170000	5000000	0.5094	3.6117%	10.3774	65.5756%
Difference	+1	+9.8753	+0.5030%	-170000	-5000000	-0.5094	-3.6117%	+9.3658	-0.7869%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24214819	242148191	9	27.851	5 5	-	1	5	7.392e-13	1.432e-6	2.394e-6
24214819	6392712217	10	32.574	132 2² × 3 × 11	2008-09-08	4	11	2.430e-11	5.153e-6	9.574e-6
24214819	626146789703	12	39.188	12929 7 × 1847	2008-09-08	7	1847	5.440e-9	0.0001	0.0002
24214819	748275682217641	15	49.411	15450780 2² × 3 × 5 × 47 × 5479	2014-04-29	47	5479	4.103e-6	0.0004	0.0007
24214819	38753514544346359	17	55.105	800202441 3 × 37 × 7209031	2015-01-05	37	7209031	0.0004	0.4620	0.8628
24214819	288123374100239468759	21	67.965	5949319177241 11 × 2129 × 254038139	2023-01-31	2129	254038139	2.0236	16.281	30.403

exponent	prime factors	composite factor	digits	bits*
24214819	242148191 6392712217	1547983698930149447	19	60.425
24214819	242148191 626146789703	151620312427038877273	21	67.039
24214819	6392712217 626146789703	4002776232169697901551	22	71.761
24214819	242148191 748275682217641	181193602818292636437431	24	77.262
24214819	6392712217 748275682217641	4783511095396723273620097	25	81.984
24214819	242148191 38753514544346359	9384093441805660109286569	25	82.956
24214819	6392712217 38753514544346359	247740065879330157458767903	27	87.679
24214819	626146789703 748275682217641	468530416233398115903750623	27	88.598
24214819	626146789703 38753514544346359	24265388721650991516366741377	29	94.293
24214819	242148191 288123374100239468759	69768553823189240026792864969	29	95.817
24214819	242148191 6392712217 626146789703	969265023597688351877070744241	30	99.613
24214819	6392712217 288123374100239468759	1841889813613862234561249128703	31	100.539
24214819	748275682217641 38753514544346359	28998312534002044683887923919119	32	104.516
24214819	626146789703 288123374100239468759	180407525731261439486982011388577	33	107.153
24214819	242148191 6392712217 748275682217641	1158318558378744968034704509794527	34	109.836
24214819	242148191 6392712217 38753514544346359	59989808790900621920385804800313473	35	115.530
24214819	242148191 626146789703 748275682217641	113453792719394387548901543474572993	36	116.450
24214819	748275682217641 288123374100239468759	215595714317705284111508636858177519	36	117.376
24214819	6392712217 626146789703 748275682217641	2995180115891339258962688603773461191	37	121.172
24214819	242148191 626146789703 38753514544346359	5875819982859590129044553317005399007	37	122.144
24214819	38753514544346359 288123374100239468759	11165793368759777290164724973055898481	38	123.070
24214819	6392712217 626146789703 38753514544346359	155121646931152305876841023053227302809	39	126.867
24214819	242148191 6392712217 288123374100239468759	446010286387923912622224155215757626273	39	128.390
24214819	242148191 748275682217641 38753514544346359	7021888922161221110504627623760296163729	40	132.367
24214819	242148191 626146789703 288123374100239468759	43685355998610909719828662107285318614207	41	135.004
24214819	6392712217 748275682217641 38753514544346359	185377866808499098953670234296518551176823	42	137.090
24214819	6392712217 626146789703 288123374100239468759	1153293393780976863029436116662989322145209	43	139.727
24214819	626146789703 748275682217641 38753514544346359	18157200299969647309654381010605868074031657	44	143.703
24214819	242148191 748275682217641 288123374100239468759	52206112209385133818742858696083609782718129	44	145.227
24214819	242148191 6392712217 626146789703 748275682217641	725277446782258154125095581900059401209355481	45	149.023
24214819	6392712217 748275682217641 288123374100239468759	1378241356851636389145097253144287922066049623	46	149.950
24214819	242148191 38753514544346359 288123374100239468759	2703776665324975984376270244238009559053797871	46	150.922
24214819	242148191 6392712217 626146789703 38753514544346359	37562426189319232413555722526928288087008568519	47	154.718
24214819	6392712217 38753514544346359 288123374100239468759	71379703680968214421035191277699438043400442377	47	155.644
24214819	626146789703 748275682217641 288123374100239468759	134994564393756276660100665644905473625135286857	48	156.564
24214819	626146789703 38753514544346359 288123374100239468759	6991425672335980200829887257932864007446424141143	49	162.258
24214819	242148191 6392712217 748275682217641 38753514544346359	44888915099117000236761240045448124765408610577193	50	164.941
24214819	242148191 6392712217 626146789703 288123374100239468759	27926790899631419759543273540000782100977859866691 9	51	167.578
24214819	242148191 626146789703 748275682217641 38753514544346359	43967332062623074509408251969429627681114198192824 87	52	171.555
24214819	748275682217641 38753514544346359 288123374100239468759	83550916505099342805363681607645749678538978433033 21	52	172.481
24214819	6392712217 626146789703 748275682217641 38753514544346359	11607375618413202908560874353407293940875243414865 3569	54	176.277
24214819	242148191 6392712217 748275682217641 288123374100239468759	33373865132300920702125733636795838231144289872568 1993	54	177.801
24214819	242148191 6392712217 38753514544346359 288123374100239468759	17284466120462494250553783915233897563925996610190 290007	56	183.496
24214819	242148191 626146789703 748275682217641 288123374100239468759	32688689562781094088138898063809708804324721842688 625687	56	184.415
24214819	6392712217 626146789703 748275682217641 288123374100239468759	86298140102855894832545748171801940505357362656854 3431969	57	189.137
24214819	242148191 626146789703 38753514544346359 288123374100239468759	16929610790671163498427738982423934188521621351965 06122313	58	190.109
24214819	6392712217 626146789703 38753514544346359 288123374100239468759	44694172309789659558515333812520049906202334580048 588444031	59	194.832
24214819	242148191 748275682217641 38753514544346359 288123374100239468759	20231703288101848135607680598391390053497045150547 00644442311	61	200.332
24214819	242148191 6392712217 626146789703 748275682217641 38753514544346359	28107050082562633748239541380558709139882011495943 086819043679	62	204.129
24214819	6392712217 748275682217641 38753514544346359 288123374100239468759	53411696468369551155051946054129518457811995013955 091793372657	62	205.055
24214819	626146789703 748275682217641 38753514544346359 288123374100239468759	52315138146411349926673559208016412180889925581196 89781028503663	64	211.669
24214819	242148191 6392712217 626146789703 748275682217641 288123374100239468759	20896938512571108867387200844543397103661911175888 2329556224918079	66	216.989
24214819	242148191 6392712217 626146789703 38753514544346359 288123374100239468759	10822612973057857652600346728462863236016614998535 510383825611397921	68	222.683
24214819	242148191 6392712217 748275682217641 38753514544346359 288123374100239468759	12933545678056775531677789248037050974260284410730 245233004134681413487	71	232.906
24214819	242148191 626146789703 748275682217641 38753514544346359 288123374100239468759	12668016064068601526611985009752566907912860249611 45241957238281432323633	73	239.520
24214819	6392712217 626146789703 748275682217641 38753514544346359 288123374100239468759	33443562276260657138370811611995936248528264119513 823411430970191689350871	74	244.242
24214819	242148191 6392712217 626146789703 748275682217641 38753514544346359 288123374100239468759	80982981057923603705277287190466098619324455689104 80138571458153292499547376924361	82	272.094

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	626146789703	39.188	12	2.41501e-9	49.66	6.10600e-9
2008-09-08	Will Edgington	Manual testing	?	?	6392712217	32.574	10	6.75110e-13	49.66	1.70692e-12
2014-04-29	TJAOI	Manual testing	?	?	748275682217641	49.411	15	1.00555e-6	49.66	2.54238e-6
2015-01-05	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	38753514544346359	55.105	17	0.000	49.66	0.000
TF systematically completed to 67 but no per-exponent detailed record exists
2023-01-31	LordJulius	Manual testing	2⁶⁷	2⁶⁸	242148191 626146789703	67.039	21	0.744	47.20	1.787
2023-01-31	LordJulius	Manual testing	2⁶⁷	2⁶⁸	288123374100239468759	67.965	21	0.796	47.20	1.914
2023-01-31	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	2.469	-	-
2023-01-31	LordJulius	Manual testing	2⁶⁹	2⁷⁰		-	-	4.938	-	-
2023-01-31	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	9.88	-	-

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10⁰

10¹

10²

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront